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2 years ago

What is the probability of rolling a number divisible by 3 on a 6-sided standard number cube?

Mathematics

1 answer:

pychu [463]2 years ago

4 0

Answer:

1:3 chance

Step-by-step explanation:

because 6 is divisible by 3 and 3 is divisible by 3

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Please help! It would be very much appreciated :)

Trava [24]

Answer:

Cos 45=6/x

x=6/cos 45=6√2

x=6√2

tan 45=y/6

y=tan45 ×6

y=6

sin 60=y/10

y=sin60×10

y=5√3

again

Cos 60=x/10

x=½×10

x=5

Sin 45=x/5

x=1/√2×5 or

x=5√2/2

again

y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]

Sin 30=8/x

½×x=8

x=8*2

x=16

again

cos 30= y/x

√3/2×16=y

y=8√3

sin 60=7/x

x=7/[√3/2]

x=14/√3 or 14√3/3

again

cos 60=y/x

½×14√3/3=y

7√3/2=y

y=7√3/2

Note:

Sin angle =perpendicular/hypotenuse

Cos angle =base/hypotenuse

Tan angle =perpendicular /base

7 0

3 years ago

The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t

Alenkasestr [34]

Answer:

y = $\frac{1}{5}(x^{2}-35x)$

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

$\frac{y}{n}=x$

⇒ $\frac{n}{y}=\frac{1}{x}$

⇒ n = $\frac{y}{x}$ --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

$\frac{y+30}{n+1}=(x-5)$

⇒ $\frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}$

⇒ (n + 1) = $\frac{y+30}{x-5}$

⇒ n = $\frac{y+30}{x-5}$ - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

$\frac{y}{x}$ = $\frac{y+30}{x-5}$ - 1

y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = $\frac{1}{5}(x^{2}-35x)$

6 0

3 years ago

Read 2 more answers

Tomas ran a Lucky Dip stall.

oksian1 [2.3K]

Answer:

637

Step-by-step explanation:

Ticket ending 00= £12 * 7 = £84

Tickets ending 5 = £1.5 * 75 = £112.5

£84+£112.5=£196.5

Price money + Profit: £196.5+£163= 356

356/£0.5 = 719 total tickets sold

719- 82 (WINNING TICKETS) = 637 losing tickets sold

3 0

3 years ago

Marc can run 2 miles in 16 minutes. At this rate, how long will it take Marc to run 5 miles?A)8 minutesB)30 minutesC)40 minutesD

cricket20 [7]

The right answer is 40 miles.

6 0

3 years ago

Use the quadratic formula to solve the equation 4x^2-x+3=0

Vaselesa [24]

X = -(-1) +/- sqrt((-1)^2 - 4*4*3)
------------------------------------ = 1/8 +/- sqrt47i
2 * 4

None of the choices are correct

5 0

3 years ago